Least Common Multiple (LCM) of 176 and 83
The least common multiple (LCM) of 176 and 83 is 14608.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 176 and 83?
First, calculate the GCD of 176 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 83 = 2 remainder 10 |
| 2 | 83 ÷ 10 = 8 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 174 | 17922 |
| 102 and 141 | 4794 |
| 78 and 64 | 2496 |
| 200 and 176 | 4400 |
| 142 and 59 | 8378 |